Spectrum Generating Operators and Intertwining Operators for Representations Induced from a Maximal Parabolic Subgroup

Intertwining Operators for Representations Induced from a Maximal Parabolic Subgroup

We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we nd the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our method is its applicability to bundle-valued cases. 0. Introduction Intertwining operators of various forms play an impor...

Induced Representations, Intertwining Operators and Transfer

Induced representations and intertwining operators give rise to distributions that represent critical terms in the trace formula. We shall describe a conjectural relationship between these distributions and the LanglandsShelstad-Kottwitz transfer of functions Our goal is to describe a conjectural relationship between intertwining operators and the transfer of functions. One side of the proposed...

On maximal parabolic regularity for non-autonomous parabolic operators

We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time integrability exponents r 6= 2. This allows us to prove maximal parabolic L r-regularity for discontinuous non-autonomous second-order divergence form ...

Logarithmic Intertwining Operators and Vertex Operators

This is the first in a series of papers where we study logarithmic intertwining operators for various vertex subalgebras of Heisenberg vertex operator algebras. In this paper we examine logarithmic intertwining operators associated with rank one Heisenberg vertex operator algebra M(1)a, of central charge 1 − 12a . We classify these operators in terms of depth and provide explicit constructions ...

Intertwining Operators and Residues